Stability of a system of Volterra integro-differential equations

DOI10.1016/S0022-247X(03)00171-9zbMath1030.45008MaRDI QIDQ1399352

Shin-ichi Nakagiri, Jito Vanualailai

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityLyapunov functionalssystem of Volterra integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory for integral equations (45M10) Systems of nonsingular linear integral equations (45F05)

Related Items (21)

New stability and boundedness results to Volterra integro-differential equations with delay ⋮ On uniform asymptotic stability of nonlinear Volterra integro-differential equations ⋮ Approximation techniques for solving linear systems of Volterra integro-differential equations ⋮ A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations ⋮ Stability of neutral Volterra integro-differential equations with infinite delay ⋮ New results on the qualitative analysis of solutions of VIDEs by the Lyapunov-Razumikhin technique ⋮ On the fundamental qualitative properties of integro-delay differential equations ⋮ Inequalities for Solutions of Linear Differential Equations in a Banach Space and Integro–Differential Equations ⋮ Unnamed Item ⋮ Delay-dependent stability conditions for non-autonomous functional differential equations with several delays in a Banach space ⋮ Unnamed Item ⋮ New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag ⋮ An application of Lyapunov-Razumikhin method to behaviors of Volterra integro-differential equations ⋮ Estimates for solutions of differential equations in a Banach space via commutators ⋮ Stability of nonlinear Volterra equations and applications ⋮ Non-Fickian delay reaction-diffusion equations: theoretical and numerical study ⋮ New stability criteria for nonlinear Volterra integro-differential equations ⋮ Uniformly Boundedness in Nonlinear Volterra Integro-Differential Equations with Delay ⋮ Qualitative analysis of integro-differential equations with variable retardation ⋮ Asymptotic Stability of Implicit Fractional Volterra Integrodifferential Equations ⋮ Unnamed Item

Cites Work

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• Stability and periodic solutions of ordinary and functional differential equations
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• Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach
• Construction of a non-Luré type Lyapunov function for multimachine power systems
• Generalized Lyapunov function for Liénard-type non-linear systems
• On the sign definiteness of Liapunov functionals and stability of a linear delay equation
• Stability of integrodifferential systems of nonconvolution type
• Volterra integral and differential equations

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